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30805434 = 2341159293
BaseRepresentation
bin111010110000…
…0110110111010
32010222002010000
41311200312322
530341233214
63020133430
7522561522
oct165406672
963862100
1030805434
1116430640
12a397276
1364c778a
14413c682
152a87809
hex1d60dba

30805434 has 80 divisors (see below), whose sum is σ = 76839840. Its totient is φ = 9145440.

The previous prime is 30805433. The next prime is 30805459. The reversal of 30805434 is 43450803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30805398 and 30805407.

It is not an unprimeable number, because it can be changed into a prime (30805433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104992 + ... + 105284.

It is an arithmetic number, because the mean of its divisors is an integer number (960498).

Almost surely, 230805434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30805434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38419920).

30805434 is an abundant number, since it is smaller than the sum of its proper divisors (46034406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30805434 is a wasteful number, since it uses less digits than its factorization.

30805434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30805434 is about 5550.2643180303. The cubic root of 30805434 is about 313.4794748587.

The spelling of 30805434 in words is "thirty million, eight hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 293 297 354 531 586 594 649 879 891 1062 1298 1593 1758 1782 1947 2637 3186 3223 3894 4779 5274 5841 6446 7911 9558 9669 11682 15822 17287 17523 19338 23733 29007 34574 35046 47466 51861 52569 58014 87021 103722 105138 155583 174042 190157 261063 311166 380314 466749 522126 570471 933498 1140942 1400247 1711413 2800494 3422826 5134239 10268478 15402717 30805434